Atkin-Lehner |
2+ 3+ 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390b |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-110874177594000 = -1 · 24 · 33 · 53 · 313 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28230,1901700] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:1794:1] |
Generators of the group modulo torsion |
j |
-92151251127228987/4106451022000 |
j-invariant |
L |
4.3464381425222 |
L(r)(E,1)/r! |
Ω |
0.58764567088468 |
Real period |
R |
1.8490896598465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017892 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114390t2 |
Quadratic twists by: -3 |